{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,7]],"date-time":"2024-07-07T07:03:25Z","timestamp":1720335805067},"reference-count":22,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Math."],"published-print":{"date-parts":[[2009,9]]},"abstract":"<jats:p> 3-quasi-Sasakian manifolds were studied systematically by the authors in a recent paper as a suitable setting unifying 3-Sasakian and 3-cosymplectic geometries. This paper throws new light on their geometric structure which appears to be generally richer compared to the 3-Sasakian subclass. In fact, it turns out that they are multiply foliated by four distinct fundamental foliations. The study of the transversal geometries with respect to these foliations allows us to link the 3-quasi-Sasakian manifolds to the more famous hyper-K\u00e4hler and quaternionic-K\u00e4hler geometries. Furthermore, we strongly improve the splitting results previously obtained; we prove that any 3-quasi-Sasakian manifold of rank 4l + 1 is 3-cosymplectic and any 3-quasi-Sasakian manifold of maximal rank is 3-\u03b1-Sasakian. <\/jats:p>","DOI":"10.1142\/s0129167x09005662","type":"journal-article","created":{"date-parts":[[2009,10,21]],"date-time":"2009-10-21T05:39:12Z","timestamp":1256103552000},"page":"1081-1105","source":"Crossref","is-referenced-by-count":8,"title":["THE GEOMETRY OF 3-QUASI-SASAKIAN MANIFOLDS"],"prefix":"10.1142","volume":"20","author":[{"given":"BENIAMINO","family":"CAPPELLETTI MONTANO","sequence":"first","affiliation":[{"name":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Bari, Via E. Orabona 4, 70125 Bari, Italy"}]},{"given":"ANTONIO","family":"DE NICOLA","sequence":"additional","affiliation":[{"name":"CMUC, Department of Mathematics, University of Coimbra, 3001-454 Coimbra, Portugal"}]},{"given":"GIULIA","family":"DILEO","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Bari, Via E. Orabona 4, 70125 Bari, Italy"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-02-03209-9"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-74311-8"},{"key":"rf3","doi-asserted-by":"crossref","first-page":"331","DOI":"10.4310\/jdg\/1214428097","volume":"1","author":"Blair D. E.","journal-title":"J. Differential Geom."},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3604-5"},{"key":"rf5","unstructured":"C. P.\u00a0Boyer and K.\u00a0Galicki, Surveys in Differential Geometry, Vol. VI, Essays on Einstein Manifolds, eds. M.\u00a0Wang and C.\u00a0Lebrun (International Press, Cambridge, 1999)\u00a0pp. 123\u2013184."},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/j.geomphys.2007.09.001"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/s10455-007-9093-5"},{"key":"rf8","volume-title":"Lecons sur Les Invariants Int\u00e9graux","author":"Cartan E.","year":"1922"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.2996\/kmj\/1138846820"},{"key":"rf10","first-page":"217","volume":"559","author":"Friedrich T.","journal-title":"J. Reine Angew. Math."},{"key":"rf11","first-page":"59","volume":"55","author":"Hitchin N. J.","journal-title":"Proc. London Math. Soc."},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.2996\/kmj\/1138036310"},{"key":"rf13","first-page":"323","volume":"60","author":"Kashiwada T.","journal-title":"Tensor"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1216\/rmjm\/1181069625"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.2748\/tmj\/1178242759"},{"key":"rf16","doi-asserted-by":"crossref","first-page":"365","DOI":"10.4310\/jdg\/1214433595","volume":"11","author":"Lazarov C.","journal-title":"J. Differential Geom."},{"key":"rf17","first-page":"19","volume":"38","author":"Olszak Z.","journal-title":"Tensor"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1007\/BF02566859"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1007\/s102310100014"},{"key":"rf20","doi-asserted-by":"crossref","first-page":"317","DOI":"10.4310\/jdg\/1214429995","volume":"5","author":"Tanno S.","journal-title":"J. Differential Geom."},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8914-8"},{"key":"rf22","first-page":"487","volume":"13","author":"Udriste C.","journal-title":"Bull. Math. Soc. Sci. Math. R. S. Roumanie"}],"container-title":["International Journal of Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129167X09005662","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T02:59:31Z","timestamp":1565146771000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129167X09005662"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,9]]},"references-count":22,"journal-issue":{"issue":"09","published-online":{"date-parts":[[2012,5,2]]},"published-print":{"date-parts":[[2009,9]]}},"alternative-id":["10.1142\/S0129167X09005662"],"URL":"https:\/\/doi.org\/10.1142\/s0129167x09005662","relation":{},"ISSN":["0129-167X","1793-6519"],"issn-type":[{"value":"0129-167X","type":"print"},{"value":"1793-6519","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,9]]}}}